Home / 1,323.80-1,985.68-458.11

Finding the Fourth Proportional to 1,323.80, 1,985.68 and 458.11

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Solution

The fourth proportional to 1,323.80, 1,985.68 and 458.11 is: 687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.80 : 1,985.68 = 458.11 : x
  2. Step 2: Convert to fraction form
    1,323.80/1,985.68 = 458.11/x
  3. Step 3: Cross multiply
    1,323.80x = 1,985.68 × 458.11
  4. Step 4: Simplify right side
    1,323.80x = 909,647.65
  5. Step 5: Solve for x
    x = 909,647.65/1,323.80
  6. Step 6: Final answer
    x = 687.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.